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Second quantization-based symmetry-adapted perturbation theory: Generalizing exchange beyond single electron pair

Bartosz Tyrcha1, Filip Brzęk1, Piotr S Żuchowski1

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This summary is machine-generated.

This study introduces a generalized second-quantized permutation operator for symmetry-adapted perturbation theory (SAPT). This new method simplifies calculating exchange energies and offers an alternative to density-matrix approaches in quantum chemistry.

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Area of Science:

  • Quantum Chemistry
  • Computational Physics
  • Theoretical Chemistry

Background:

  • Symmetry-Adapted Perturbation Theory (SAPT) is crucial for understanding intermolecular interactions.
  • Calculating exchange energies in SAPT can be computationally intensive, especially for larger systems.
  • Existing methods often rely on density-matrix formulations, which can be complex.

Purpose of the Study:

  • To develop a general second-quantized form of the permutation operator for SAPT.
  • To derive universal formulas for exchange energy approximations (S2n).
  • To provide an alternative formalism to density-matrix methods for SAPT calculations.

Main Methods:

  • Construction of a generalized second-quantized permutation operator by multiplying single-pair operators.
  • Derivation of universal formulas for S2n approximations of exchange energies.
  • Development of a method to sum overlap expansion series to infinity in second-quantization.

Main Results:

  • The generalized permutation operator enables universal formulas for S2n exchange energy approximations.
  • Expressions for S4 approximation corrections are presented and validated.
  • A novel second-quantized approach to summing overlap expansions is outlined.

Conclusions:

  • The new second-quantized formalism offers an efficient alternative for calculating exchange energies in SAPT.
  • This approach facilitates advancements in SAPT, particularly for complex wavefunction theories.
  • Integration with symbolic algebra programs can automate derivations and accelerate research.